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A172103 Partial sums of A167020 where A167020(n)=1 iff 6*n-1 is prime. 3

%I #10 Dec 27 2022 17:52:42

%S 1,2,3,4,5,5,6,7,8,9,9,10,10,11,12,12,13,14,15,15,15,16,17,17,18,18,

%T 18,19,20,21,21,22,23,23,23,23,23,24,25,26,26,27,28,29,30,30,31,31,32,

%U 32,32,33,34,34,34,34,34,35,36,37,37,37,37,38,39,39,40,40,40,41,41,42,42

%N Partial sums of A167020 where A167020(n)=1 iff 6*n-1 is prime.

%C Where A167020 is the characteristic sequence: A167020(n)=1 iff 6*n-1 is prime.

%t Accumulate[Table[If[PrimeQ[6 n-1],1,0],{n,100}]] (* _Harvey P. Dale_, Dec 27 2022 *)

%o (PARI) ism(n) = isprime(6*n-1); \\ A167020

%o a(n) = sum(k=1, n, ism(k)); \\ _Michel Marcus_, Feb 06 2019

%Y Cf. A007528, A167020, A172104.

%K nonn

%O 1,2

%A _Juri-Stepan Gerasimov_, Jan 25 2010

%E Entries checked by _R. J. Mathar_, Apr 14 2010

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Last modified April 25 07:41 EDT 2024. Contains 371964 sequences. (Running on oeis4.)